SOME PROPERTIES OF TENSOR CENTRE OF GROUPS Moghaddam, Mohammad Reza R.; Niroomand, Payman; Jafari, S. Hadi;
Let be the tensor square of a group G. The set of all elements a in G such that , for all g in G, is called the tensor centre of G and denoted by (G). In this paper some properties of the tensor centre of G are obtained and the capability of the pair of groups (G, G') is determined. Finally, the structure of (G) will be described, where (G) is the kernel of the map : .
non-abelian tensor square;tensor centre;relative central extension;capable group;